Which of the following three-dimensional geometric shapes is always formed by a net that consists of only one type of shape?

Rationale

Cube is always formed by a net that consists of only one type of shape.

A cube is constructed entirely from six square faces, making it a three-dimensional geometric shape that can be represented by a net consisting solely of squares. This uniformity in shape allows for a simple and consistent net that can be folded to create the cube.

A (Cylinder) YOUR ANSWER

A cylinder consists of two circular bases and a curved surface connecting them. The net of a cylinder includes both circles and a rectangle, implying that it is formed from more than one type of shape. Thus, it does not meet the criteria of being formed by a net of only one type of shape.

B (Cube) CORRECT

A cube is exclusively made up of six square faces, which means that its net is composed entirely of squares. This characteristic allows the net to be folded into a cube without introducing any other shapes, confirming that the cube is the only option that satisfies the question's requirement.

C (Prism) YOUR ANSWER

A prism can have different bases, which may involve various shapes such as triangles, rectangles, or other polygons. The net of a prism incorporates the base shape along with rectangles connecting the corresponding sides. Therefore, it cannot be represented by a net consisting of only one type of shape.

D (Pyramid) YOUR ANSWER

A pyramid consists of a base (which can be any polygon) and triangular faces that converge at a point. The net of a pyramid includes the base shape and several triangles, resulting in a net made up of different types of shapes. Thus, it does not fulfill the requirement of having a net formed by only one type of shape.

Conclusion

In summary, the cube stands out as the three-dimensional geometric shape that can be formed by a net consisting of solely one type of shape—squares. In contrast, the other shapes listed—cylinder, prism, and pyramid—each require a combination of different shapes to create their respective nets, disqualifying them from the question's criteria. This distinction highlights the unique structural simplicity of the cube in geometric terms.

Which of the following three-dimensional geometric shapes is always formed by a net that consists of only one type of shape?

Cube is always formed by a net that consists of only one type of shape.

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